Seems to me the choice is in the choosing... I know, I'm a smart ass
As I see it... The choice happens when a recovered(ing) alcoholic takes their own self will back... If in step three, we make the decision (choice) to turn our will over to God, don't we then make a decision (choice) not to? And if there is insanity in our choice with the drink (thanx shaun) do we, then, really have one?
A side question in response to BP44's excellent point... can a "hard drinker" take a third step?